312239090688 has 352 divisors, whose sum is σ = 1003626086400. Its totient is φ = 84309590016.

The previous prime is 312239090677. The next prime is 312239090689. The reversal of 312239090688 is 886090932213.

It is a self number, because there is not a number n which added to its sum of digits gives 312239090688.

It is not an unprimeable number, because it can be changed into a prime (312239090689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248005003 + ... + 248006261.

Almost surely, 2^312239090688 is an apocalyptic number.

312239090688 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312239090688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501813043200).

312239090688 is an abundant number, since it is smaller than the sum of its proper divisors (691386995712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312239090688 is a wasteful number, since it uses less digits than its factorization.

312239090688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 312239090688 in words is "three hundred twelve billion, two hundred thirty-nine million, ninety thousand, six hundred eighty-eight".